Gábor Somlai

activity

20092026

most citedOn the discrete Fuglede and Pompeiu problems

22 citations · 54 across the 25 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

On polynomials of small range sum

Gergely Kiss, Ádám Markó, Zoltán Lóránt Nagy +1

In order to reprove an old result of Rédei's on the number of directions determined by a set of cardinality $p$ in $F_{p}^{2}$ , Somlai proved that the non-constant polynomials…

math.CA2023★ 1 cited

Spectral Tile Direction in the Group $Z_{p^{2}} \times Z_{q^{2}} \times Z_{r}$

Thomas Fallon, Gergely Kiss, Azita Mayeli +1

Let $p$ , $q$ , and $r$ be distinct primes such that $p^{2} q^{2} < r$ . We prove that every spectral set in the cyclic group $Z_{p^{2} q^{2} r}$ is a tile. Since the reverse direction is…

math.NT2023

Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication

Gergely Kiss, Gábor Somlai, Tamás Terpai

The main purpose of this paper is to prove that the positive real numbers can be decomposed into finitely many disjoint pieces which are also closed under addition and multiplicati…

On polynomials of small range sum

Spectral Tile Direction in the Group Zp2​×Zq2​×Zr​

Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication

Spectral Tile Direction in the Group $Z_{p^{2}} \times Z_{q^{2}} \times Z_{r}$